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Finding the Fourth Proportional to 1,124.55, 1,687.77 and 814.91

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Solution

The fourth proportional to 1,124.55, 1,687.77 and 814.91 is: 1,223.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.55 : 1,687.77 = 814.91 : x
  2. Step 2: Convert to fraction form
    1,124.55/1,687.77 = 814.91/x
  3. Step 3: Cross multiply
    1,124.55x = 1,687.77 × 814.91
  4. Step 4: Simplify right side
    1,124.55x = 1,375,372.21
  5. Step 5: Solve for x
    x = 1,375,372.21/1,124.55
  6. Step 6: Final answer
    x = 1,223.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.